This article is cited in 2 papers

Brief communications

Geodesics on a group of semi-affine transformations of Euclidean plane

M. V. Tryamkin<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, 4 Ak. Koptyuga Ave., Novosibirsk, 630090 Russia
^b Novosibirsk State University, 1 Pirogova str., Novosibirsk, 630090 Russia

Abstract: We obtain parameterized representations of geodesics of sub-Riemannian metric on three-dimensional Lie group of semi-affine transformations of the Euclidean plane, i. e., those that act as orientation preserving affine mappings on one axis, and as translations on the other one.

Keywords: Lie groups, sub-Riemannian structure, geodesics.

UDC: 514.7

Received: 28.12.2017

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 74–77

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